A linear equation, when graphed, is always a line. A quadratic is a curve. Also, linear equations are of the form y=mx+b where m and b are arbitrary constants and quadratics are y=(x^2) +mx +b where m and b are arbitrary constants.
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It is a quadratic equation that normally has two solutions
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It is linear in y, quadratic in x. Generally, that would be considered a quadratic.
It is a quadratic equation that has 2 solutions